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Finding the Fourth Proportional to 12,797.46, 17,668.65 and 9,807.78

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Solution

The fourth proportional to 12,797.46, 17,668.65 and 9,807.78 is: 13,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.46 : 17,668.65 = 9,807.78 : x
  2. Step 2: Convert to fraction form
    12,797.46/17,668.65 = 9,807.78/x
  3. Step 3: Cross multiply
    12,797.46x = 17,668.65 × 9,807.78
  4. Step 4: Simplify right side
    12,797.46x = 173,290,232.10
  5. Step 5: Solve for x
    x = 173,290,232.10/12,797.46
  6. Step 6: Final answer
    x = 13,540.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.